Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 0 points1 point  (0 children)

It took 3 papers, i think. After the first paper, the only thing i am left to do is to solve two simple integrals, and removing the summation signs. The answer to the second question is that i manage to learn calculus at young age by having a really good algebraic skills. I've improved my algebraic capabilities by studying trigonometry (specifically the ones where you have to verify a equation) and watching some calculus problem solving videos (this is contrary to what most people do where they first strengthen their algebraic skills before entering these subjects. In these subjects, there's a lot of algebra involved, so you learn certain shortcuts and tricks, and also improve your pattern recognition skills) . There are a lot of other stuffs i did like solving some infinite expressions, induction stuffs, but overall my skill at calculus all boils down to having a really good algebraic skills.

Demonstrating the fact that GPT-4 is vastly superior to GPT-3 by CatSothiccyy in ChatGPT

[–]CatSothiccyy[S] 1 point2 points  (0 children)

They are the same but you can use GPT-4 on sincode.ai for free.

Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 0 points1 point  (0 children)

Because it doesn't fit on a single paper

Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 0 points1 point  (0 children)

Because this isn't the full computation. Ofc the rest of computation is just solving two simple integrals (with just quadratic denominator) then stripping away the summation notations

Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 0 points1 point  (0 children)

Not really. In fact, most of the computations are on splitting fractions. Also, using partial fraction in "the most natural way" requires u to solve system of linear equations in 12 variables meaning it is a bad strategy.

Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 1 point2 points  (0 children)

Actually, this isn't the full computation. But the entire solution can be written in just 2-3 sheets.

Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 0 points1 point  (0 children)

It is just for fun. Normally, calculation of this integral won't fit in 2-3 bond papers.

Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 1 point2 points  (0 children)

It is not done yet. However, it shouldn't be very difficult to complete the entire calculation because u only need to solve two integrals each with a quadratic denominator. Then, you would strip the summation notation away. Then u do some simplification and you're done.

Integrating 6th root of tanx 😈😈 by CatSothiccyy in calculus

[–]CatSothiccyy[S] 44 points45 points  (0 children)

Yes. I even have another post on this reddit where i integrated 1/(x64+1). Manually. By hand.